SOLUTION: Find the number of values of x belonging to( -2pie to 2pie ) satisfying tan x + cot x = 2cosec x

Question 769173: Find the number of values of x belonging to( -2pie to 2pie ) satisfying tan x + cot x = 2cosec x

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the number of values of x belonging to( -2pie to 2pie ) satisfying tan x + cot x = 2cosec x
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tan x + cot x = 2cosec x
sin/cos + cos/sin = 2/sin
sin^2/cos + cos = 2
sin^2 + cos^2 = 2cos
2cos = 1
cos = 1/2
x = -5pi/3, -pi/3, pi/3, 5pi/3
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PS It's the Greek letter pi, not the dessert, pie.

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